Will this help with my child's Grade 12 Applied Mathematics (40S) homework?

Yes. StudyPug covers the strands in Manitoba's Grade 12 Applied Mathematics (40S) course, so your child can find lessons and practice problems that match exactly what their teacher is covering in class.

How long are the video lessons for Grade 12 Applied Math?

Most video lessons run between 5 and 15 minutes, focused on a single concept. Your child can pause, rewind, and re-watch as many times as needed until the topic clicks.

Is there a provincial test for Grade 12 math in Manitoba?

Manitoba does have provincial assessments, and Grade 12 is a key year. We recommend checking with your child's school for the current assessment requirements for the Applied Mathematics (40S) course.

Can my child use StudyPug on a tablet or phone?

Yes. StudyPug works on tablets, phones, and computers, so your child can study at home, at school, or on the go without needing to carry extra materials.

Can I try StudyPug before paying?

Yes. StudyPug offers free sample lessons so you can see the content before committing. There is also a 30-day money-back guarantee if the subscription is not the right fit.

MB Grade 12 Math Curriculum

Give your child the support they need to succeed in Grade 12 Applied Mathematics (40S). StudyPug covers every strand taught in Manitoba schools, with clear lessons and plenty of practice.

MB Grade 12 Math Curriculum

GO_IDOutcomeStudyPug Topic

MB.GO.12A.FM.1Solve problems that involve compound interest in financial decision making
- Exponential growth and decay by a factor
- Exponential growth and decay by percentage
- Finance: Compound interest
- Logarithmic scale: Richter scale (earthquake)
- Logarithmic scale: pH scale
- Logarithmic scale: dB scale
- Finance: Future value and present value
- Simple interest
MB.GO.12A.FM.2Analyze costs and benefits of renting, leasing and buying
- Geometric series
- Infinite geometric series
- Taxes, discounts, tips and more
MB.GO.12A.FM.3Analyze an investment portfolio in terms of interest rate, rate of return, and total return
- Applications of rational equations
- Continuous growth and decay
- Applications of inequalities
MB.GO.12A.L.1Analyze puzzles and games that involve numerical and logical reasoning using problem-solving strategies
- Direct variation
- Evaluating piecewise functions
- Graphing piecewise linear functions
- Graphing piecewise non-linear functions
MB.GO.12A.L.2Solve problems that involve the application of set theory
- Set notation
- Set builder notation
- Intersection and union of 2 sets
- Intersection and union of 3 sets
MB.GO.12A.L.3Solve problems that involve conditional statements
- Solving rational inequalities
- Graphing linear inequalities in two variables
- Inequalities of combined functions
- Graphing systems of linear inequalities
- Reading and drawing Venn diagrams
- Probability with Venn diagrams
MB.GO.12A.R.1Represent data using polynomial functions of degree ≤ 3 to solve problems
- Polynomial functions
- Characteristics of polynomial graphs
- Determining the equation of a polynomial function
- Applications of polynomial functions
- Solving polynomial inequalities
- Fundamental theorem of algebra
- Descartes' rule of signs
MB.GO.12A.R.2Represent data using exponential and logarithmic functions to solve problems
- Solving logarithmic equations
- Graphing exponential functions
- Graphing transformations of exponential functions
- Finding an exponential function given its graph
- What is a logarithm?
- Quotient rule of logarithms
- Combining product rule and quotient rule in logarithms
- Power rule of logarithms
- Evaluating logarithms using logarithm rules
- Graphing logarithmic functions
- Graphing transformations of logarithmic functions
- Finding a logarithmic function given its graph
MB.GO.12A.R.3Represent data using sinusoidal functions to solve problems
- Sine graph: y = sin x
- Cosine graph: y = cos x
- Tangent graph: y = tan x
- Cotangent graph: y = cot x
- Secant graph: y = sec x
- Cosecant graph: y = csc x
- Graphing transformations of trigonometric functions
- Determining trigonometric functions given their graphs
- Ferris wheel trig problems
- Tides and water depth trig problems
- Spring (simple harmonic motion) trig problems
MB.GO.12A.P.1Interpret and assess the validity of odds and probability statements
- Introduction to probability
- Organizing outcomes
- Comparing experimental and theoretical probability
- Inverse variation
- Joint and combined variation
MB.GO.12A.P.2Solve problems that involve the probability of mutually exclusive and non-mutually exclusive events
- Arithmetic series
- Addition rule for
- Multiplication rule for
MB.GO.12A.P.3Solve problems that involve the probability of independent and dependent events
- Geometric sequences
- Permutation vs. Combination
- Probability of independent events
- Conditional probability
MB.GO.12A.P.4Solve problems that involve the fundamental counting principle
- Fundamental counting principle
MB.GO.12A.P.5Solve problems that involve permutations
- Factorial notation
- Path counting problems
- Permutations
MB.GO.12A.P.6Solve problems that involve combinations
- Combinations
- Problems involving both permutations and combinations
- Pascal's triangle
- Binomial theorem
MB.GO.12A.RP.1Research and give a presentation on a current event or an area of interest that involves mathematics
- Reading and drawing bar graphs
- Reading and drawing histograms
- Reading and drawing line graphs
- Box-and-whisker plots and scatter plots
MB.GO.12A.D.1Analyze objects shapes and processes to solve cost and design problems
- Surface area of 3-dimensional shapes
- Enlargements and reductions with scale factors
- Scale diagrams
- Similar triangles
- Similar polygons
- Conics - Parabola
- Conics - Circle
- Conics - Ellipse
- Conics - Hyperbola
- Even and odd functions
- Difference quotient: applications of functions

Grade 12 Applied Mathematics (40S)

About Grade 12 Manitoba math

Manitoba follows the Manitoba Curriculum Framework of Outcomes, which organizes Grade 12 Applied Mathematics (40S) into applied and contextual strands that build on earlier numeracy work. This course develops skills in financial mathematics, logical reasoning, statistics, probability, and design and measurement, giving students the tools they need for post-secondary pathways outside of calculus-stream math. StudyPug provides step-by-step lessons and practice problems aligned to every strand in this course.

Strands covered: financial mathematics, logical reasoning, statistics, probability, and design and measurement
Step-by-step lessons and worked examples for every topic
Practice problems with detailed solutions to build confidence
Content aligned to the Manitoba Curriculum Framework of Outcomes for Grade 12 Applied Mathematics (40S)

Curriculum topics by strand

Browse lessons and practice problems organized by strand, aligned to the Manitoba Curriculum Framework of Outcomes for Grade 12 Applied Mathematics (40S).

Topic includes:

Practice

Video

Quiz

GO_ID

Outcome

StudyPug Topic

MB Grade 12 Math Topics

Financial Mathematics: Explores budgeting, loans, investments, and annuities in practical, real-world contexts.
Logical Reasoning: Covers inductive and deductive reasoning, puzzles, and the analysis of games and decisions.
Statistics: Develops skills in collecting, displaying, and interpreting data, including normal distributions and confidence intervals.
Probability: Examines counting methods, odds, and expected value in everyday and applied situations.
Design and Measurement: Applies geometric concepts and scale to real-world design problems, including 3D objects and unit conversions.

How StudyPug Helps MB Grade 12 Math Students

When a student gets stuck on a concept like annuities or normal distributions, StudyPug lets them go back to the exact lesson they need. Clear video lessons walk through each step, and practice problems let students check their understanding right away.

Parents can follow along too. Because every lesson is broken into short, focused segments, it is easy to see where a student is struggling and what they need to review before a test or assignment.

Aligned to MB Grade 12 Applied Mathematics (40S) Curriculum

Every lesson and practice problem on StudyPug is built to match the Manitoba Curriculum Framework of Outcomes for Grade 12 Applied Mathematics (40S), so students are always working on material that is relevant to what their teacher assigns in class.

Ready to put your Grade 12 Math skills to the test?

Jump into practice questions for every MB Grade 12 Math topic - with instant feedback and step-by-step video solutions when you get stuck.

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Written by the StudyPug Math Team

Last updated June 5, 2026

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